Answer:
$104.19
Step-by-step explanation:
We will use the compound interest formula to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 5% into a decimal:
5% ->
-> 0.05
Now, plug the values into the equation:


After 3 years, Maria will have $104.19
Answer:

Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.




The surface area for the pink rectangular prism is
.
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.




The surface area for the green rectangular prism is 144
.
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.


----------------------------------------
Hope this is helpful.
Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula
. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So
= 2025. Find the square root of 2025.
= 45. Hope this helped ^^
Answer:
The required recursive formula is

Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves

Each year thereafter the number of leaves was 40% more than the year before so that means

For the third year the number of leaves increase 40% than the year before so that means

Similarly for fourth year,

So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,

So there will be 10330 leaves in the 10th year.